The First Algorithm: Deconstructing Euclidean Logic for the AI Age

300 BC meets 2026. The Euclidean Algorithm isn't just a classroom tool for finding the Greatest Common Divisor (GCD); it is the architectural foundation of modern cryptography and recursive AI. In this 8-minute session, we move beyond simple calculation. We deconstruct the logic of a = bq + r to understand how a 2,300-year-old process still secures our digital world today.